Maths-
General
Easy

Question

A system of two linear equations has no solutions. The graph of one of the equations in the system is shown in the xy - plane.

The second equation in the system is a x minus y equals 1, where a is a constant. What is the value of a ?

The correct answer is: 1.25


    Step 1 :- find the slope of line passing through points (0,4) and (-4,-1)
    Slope m for the line passing through (x1 ,y1) and (x2 ,y2) is
    m = fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction not stretchy rightwards double arrow m equals fraction numerator negative 1 minus 4 over denominator 0 minus left parenthesis negative 4 right parenthesis end fraction equals 5 over 4
    Step 2 : finding slope of equation a x minus y equals 1
    y equals a x minus 1 it is in the form of slope-intercept form of line
    So, slope = a and  y intercept = -1( which is different from shown line)
    The two lines are not overlapping .so, the infinite no.of solutions condition is avoided.
    Both slopes are equal so a = 5 over 4 (or) 1.25

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